Least-squares design of digital fractional-order operators

In this paper we develop a method for obtaining digital rational approximations to fractional-order operators of type s^y, where y e R. The proposed method is based on the least-squares (LS) minimization between the impulse response of the fractional Euler/Tustin operators and the digital rational-f...

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Bibliographic Details
Main Author: Barbosa, Ramiro (author)
Other Authors: Tenreiro Machado, J. A. (author), Ferreira, Isabel M. (author)
Format: conferenceObject
Language:eng
Published: 2019
Subjects:
Fractional-order operators
Least-squares
Rational approximations
IIR filters
Filter design
Padé approximation
Fractional calculus
Online Access:http://hdl.handle.net/10400.22/13208
Country:Portugal
Oai:oai:recipp.ipp.pt:10400.22/13208
Description
Summary:In this paper we develop a method for obtaining digital rational approximations to fractional-order operators of type s^y, where y e R. The proposed method is based on the least-squares (LS) minimization between the impulse response of the fractional Euler/Tustin operators and the digital rational-fraction approximation. We make a comparison with other approaches and the results reveal that the LS method gives superior approximations. The effectiveness of the method is demonstrated both in the time and frequency domains through an illustrative example.

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